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- ...oose 2 array, pairs.svg|thumb|Triangle of possible inversions of 8-element permutations]] These are some examples of similar permutations ordered in arrays. ...5 KB (606 words) - 15:53, 18 August 2020
- ...[[w:Symmetric group|symmetric group]] S<sub>''n''</sub> are defined by the permutations' [http://groupprops.subwiki.org/wiki/Cycle_type_of_a_permutation cycle type The first 8! = 40320 finite [[w:Permutation|permutations]] have {{oeis|A000041}}(8) = 22 different cycle types corresponding to the ...3 KB (514 words) - 14:45, 24 October 2022
- ...and soft [[properties of Boolean functions]], there are also hard and soft permutations. Interesting permutations of BF are often [[Walsh permutation]]s, which correspond to an invertible b ...2 KB (240 words) - 12:46, 14 March 2025
- #'''[[#Permutations of a set of distinct symbols]]''' ...ding of this rule is essential to counting [[w:special:permalink/994283739|permutations and combinations]]. We are especially interested in how to ascertain when ...17 KB (2,561 words) - 15:09, 2 January 2024
- '''THIS DRAFT IS BEING USED TO HELP ME EDIT [[Information theory/Permutations and combinations]]. DO NOT DELETE''' ...n in {{EquationNote|Figure 2}}, we begin by counting all {{math|3!{{=}}6}} permutations of <math>(C_1C_2R).</math> ...10 KB (1,662 words) - 16:41, 22 December 2023
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- ...oose 2 array, pairs.svg|thumb|Triangle of possible inversions of 8-element permutations]] These are some examples of similar permutations ordered in arrays. ...5 KB (606 words) - 15:53, 18 August 2020
- ...[[w:Symmetric group|symmetric group]] S<sub>''n''</sub> are defined by the permutations' [http://groupprops.subwiki.org/wiki/Cycle_type_of_a_permutation cycle type The first 8! = 40320 finite [[w:Permutation|permutations]] have {{oeis|A000041}}(8) = 22 different cycle types corresponding to the ...3 KB (514 words) - 14:45, 24 October 2022
- It seems that the [[w:Cycles and fixed points|cycle lengths]] of these permutations are all of the forms 2<sup>n</sup>-1 ({{oeis|A000225}}) and (4<sup>n</sup>- That means that the length of all cycles is odd, which means that all these permutations have a unique square root. ...4 KB (417 words) - 16:49, 7 January 2018
- While inversion sets and the related vectors uniquely define permutations, this is not true for sequences in general. The place-based inversion sets are the same as those of permutations.<br> ...6 KB (803 words) - 20:59, 12 October 2024
- ...<math>n</math>. <small>(See e.g. the [[full octahedral group]] for the 48 permutations of the cube.)</small><br> * '''valneg:''' which values are negated <small>(or which rows of the permutations matrix)</small> ...5 KB (589 words) - 16:49, 1 June 2024
- ...and soft [[properties of Boolean functions]], there are also hard and soft permutations. Interesting permutations of BF are often [[Walsh permutation]]s, which correspond to an invertible b ...2 KB (240 words) - 12:46, 14 March 2025
- ==finite permutations== {{Collapsible START|parities of permutations of 4 elements|collapsed light}} ...8 KB (903 words) - 16:08, 1 June 2024
- | image1 = 3-bit Walsh permutations; neighbor graph positive; selection middle.svg | image2 = 3-bit Walsh permutations; neighbor graph; suits.svg ...5 KB (710 words) - 13:47, 24 August 2022
- ...''''Walsh permutation''''' was chosen by [[User:Watchduck|the author]] for permutations that permute [[w:Walsh function|Walsh functions]] into other Walsh function There are {{oeis|A002884}}(''n'') Walsh permutations of degree ''n''. ...8 KB (1,088 words) - 15:01, 29 May 2024
- ==Walsh permutations== In all there are six Walsh permutations, which shall be denoted by Cyrillic letters: ...8 KB (1,123 words) - 19:14, 10 January 2025
- These images show the connection between the 3×3 matrices and the permutations:<br> These images show the connection between transforms and permutations:<br> ...12 KB (1,570 words) - 17:28, 12 March 2023
- ...oup|symmetric group]] <math>S_4</math> is the group of all [[w:Permutation|permutations]] of 4 elements. [[w:Parity of a permutation|Even permutations]] are white: ...28 KB (4,020 words) - 21:17, 23 November 2024
- ...{EquationNote|Figure 2}}. Should probably remove (see [[Information theory/Permutations and combinations|Information theory]])]] ...utations''']] of 123 is, '''{{Math|3!{{=}}3·2·1{{=}}6.}}''' The number of permutations for '''{{Math|n}}''' objects is '''{{Math|n!}}''' EDIT THIS ...4 KB (657 words) - 11:13, 10 April 2023
- '''THIS DRAFT IS BEING USED TO HELP ME EDIT [[Information theory/Permutations and combinations]]. DO NOT DELETE''' ...n in {{EquationNote|Figure 2}}, we begin by counting all {{math|3!{{=}}6}} permutations of <math>(C_1C_2R).</math> ...10 KB (1,662 words) - 16:41, 22 December 2023
- ...ange the integers <math>2</math> and <math>1</math>. Three (an odd number) permutations were required to permute <math>321</math> into <math>123</math>. Thus <math ...math> terms occur in the exapansion of (3) since there are <math>3!</math> permutations of <math>123</math>. All other values of <math>\epsilon_{ijk}</math> are ze ...8 KB (1,307 words) - 12:52, 27 January 2024
- To be able to query any pattern, one could use every permutations of (subject, predicate, object) and query by pattern prefix. For instance, ...al set that allow to query any 3-tuple pattern in one hop is the following permutations: ...6 KB (904 words) - 18:41, 16 July 2020
- ==Permutations== ...order has the advantage that it can be used to order an infinite number of permutations.<br> ...18 KB (1,759 words) - 03:23, 13 November 2023
- Let <code>id_to_perm</code> be a <code>bidict</code> from IDs to permutations. What are the products of permutations 3 and 5? ...7 KB (879 words) - 01:00, 3 June 2024
- #'''[[#Permutations of a set of distinct symbols]]''' ...ding of this rule is essential to counting [[w:special:permalink/994283739|permutations and combinations]]. We are especially interested in how to ascertain when ...17 KB (2,561 words) - 15:09, 2 January 2024
- The equations <math>a \oplus b ~=~ c</math> show a bijection between the permutations and the 2-subsets of <math>\{1..7\}</math>. ...xed and moved points corresponds to the rows 1..7 of a {{w|Walsh matrix}}. Permutations with the same fixed points are in the same column. ...9 KB (1,175 words) - 11:21, 27 November 2022